One to classify between many GT schemes is the way how tests are performed. The second is about which identifying the defective samples should be used to find a set of defective samples among a plurality of samples. First, it is about how to choose a subset of defective samples to be included in one group. Here the problem of GT is mainly focused on two issues. Such syphilis tests are possible because most soldiers are not infected with syphilis and only a few soldiers are infected with syphilis. Conversely, if negative, all the blood samples pooled in the syphilis group can be confirmed not to be infected with syphilis. When the result is positive, at least one soldier in the group is infected with syphilis. First, mix blood samples from several soldiers to see if they respond to syphilis. The initial GT is performed by the following way. Since then, it has been exploited and applied in various research fields based on the core ideas of this GT. This is the background in which GT models have emerged. The number of tests could be reduced because several blood samples were mixed without syphilis testing individually. In this case, the results may be negative even if the blood of several soldiers is mixed and tested for syphilis at once. Indeed, this is a plausible and persuasive hypothesis. Suppose the number of soldiers infected with syphilis is very small compared to the total number of soldiers. Thus, GT has emerged as a new method of syphilis testing. However, the syphilis test, which was expensive and used a long diagnostic time, was not enough to test all soldiers. government to develop an early GT model to find syphilis soldiers. This led to the active participation of the U.S. government faced a situation where it was necessary to quickly find soldiers infected with syphilis. At this time, syphilis erupted in the army and the U.S. First, Dorfman developed the GT during the midst of World War II.
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